The present construction uses as a starting point the free field or
any quantum field which gives a wedge-split net.
The new models are constructed on the tensor
product of the Hilbert space of the input field (net).
One could call our construction a “deformation” of the trivial combination of
the input fields. The term “deformation” had a specific sense in [1]} and [2]},
and in massless cases it has been
revealed that the connection with free (trivial scattering) models is generic [3]}.
In addition, one notes that such a “deformation” is always related to a certain
structure of the input field. The deformation in [1]} exploits the translation covariance,
while the chiral decomposition plays a crucial role in [3]}, [6]}.
If one desires further different deformations, it is a natural idea to
introduce a further structure to the “undeformed” model. In this paper this idea will be realized using
tensor product and inner symmetry. Such structure is easily found in examples. Indeed,
our procedure in Section 5 can be applied to the tensor product of Lechner's models [7]}
and immediately gives new strict local nets.
